Version 1
: Received: 10 May 2021 / Approved: 11 May 2021 / Online: 11 May 2021 (09:37:42 CEST)
Version 2
: Received: 4 August 2022 / Approved: 4 August 2022 / Online: 4 August 2022 (08:51:33 CEST)
How to cite:
Ishiguri, S. Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints2021, 2021050227. https://doi.org/10.20944/preprints202105.0227.v2
Ishiguri, S. Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints 2021, 2021050227. https://doi.org/10.20944/preprints202105.0227.v2
Ishiguri, S. Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints2021, 2021050227. https://doi.org/10.20944/preprints202105.0227.v2
APA Style
Ishiguri, S. (2022). Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta. Preprints. https://doi.org/10.20944/preprints202105.0227.v2
Chicago/Turabian Style
Ishiguri, S. 2022 "Theoretical Derivation of Critical Current Density and Critical Magnetic Field Considering Many-Body Interactions of Magnetic Flux Quanta" Preprints. https://doi.org/10.20944/preprints202105.0227.v2
Abstract
To clarify the relationships among critical temperature, critical magnetic field, and critical current density, this paper describes many-body interactions of quantum magnetic fluxes (i.e., vortices) and calculates pinning-related critical current density. All calculations are analytically derived, without numerical or fitting methods. Afteralculating a magnetic flux quantum mass, we theoretically obtain the critical temperature in a many-body interaction scenario (which can be handled by our established method). We also derive the critical magnetic field and inherent critical current density at each critical temperature. Finally, we determine the pinning-related critical current density with self-fields. The relationships between the critical magnetic field and critical temperature, inherent critical current density and critical temperature, and pinning critical current density and temperature were consistent with experimental observations. From the critical current density and critical magnetic field, we clarified the magnetic field transition. It appears that a magnetic flux quantum collapses when the lattice of magnetic flux quanta melts. Our results, combined with our previously published papers, provide a comprehensive understanding of the transition points in high-Tc cuprates.
Keywords
vortices; vortex physics; critical temperature; magnetic flux quantum; critical current density; critical magnetic field; many-body interaction
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
4 August 2022
Commenter:
S. Ishiguri
Commenter's Conflict of Interests:
Author
Comment:
In Sec 3.2.4, which is named “Pinning critical current density with a self-magnetic field”, the derivation of the pinning critical current density jc,p was slightly modified to represent that it becomes zero when applied temperature reaches the critical temperature. More concretely, in this derivation, an integral constant was introduced but the logic of this derivation still remains. As a result, Fig. 10 was slightly modified such that the critical current density reaches zero when applied temperature becomes the critical temperature.
Commenter: S. Ishiguri
Commenter's Conflict of Interests: Author